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Finding the Fourth Proportional to 389.26, 582.69 and 333.90

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Solution

The fourth proportional to 389.26, 582.69 and 333.90 is: 499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.26 : 582.69 = 333.90 : x
  2. Step 2: Convert to fraction form
    389.26/582.69 = 333.90/x
  3. Step 3: Cross multiply
    389.26x = 582.69 × 333.90
  4. Step 4: Simplify right side
    389.26x = 194,557.69
  5. Step 5: Solve for x
    x = 194,557.69/389.26
  6. Step 6: Final answer
    x = 499.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.